Real number
Numbers with one dimension are called real numbers. You write them as
x = x0 e0
and they consist of the real number x0 and the unit
{ e0 }
Explanation
When multiplying the unit { e0} only { e0} can arise, so
× e0 e0 e0
The unit e0 is the real number 1.
For real numbers, we know the concept of greater than (>) and less than (<). This indication is not possible for multidimensional numbers. So it is not possible for complex numbers with two dimensions, and quaternions with four dimensions and octonions with eight dimensions.
HistoryThis notation was proposed in 1844 by the German mathematician Hermann Grassmann, who developed linear algebra. |